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    ".. _nb_dascmop:"
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    "## MODAct\n",
    "\n",
    "MODAct (multi-objective design of actuators) is a real-world benchmark test-suite <cite data-cite=\"modact\"></cite> for constrained multi-objective optimization. The optimization problems aim at finding small electro-actuators given some objectives and constraints. Currently, there are 20 problems with up to 5 objectives and 10 inequaltiy constraints, summarized in the table below.\n",
    "\n",
    "In order to solve these problems, you will need to have the [modact](https://github.com/epfl-lamd/modact) package and its dependencies installed (Docker image available). A single solution evaluation takes about 20 ms. Therefore, the use of parallel schemes is advised. The best-known Pareto front can be downloaded here: [best-known PF](https://doi.org/10.5281/zenodo.3824302), and put into a `modact` folder in `pymoo/problems/pf`.\n",
    "\n",
    "For more information please refer to the associated publication <cite data-cite=\"modact\"></cite>.\n",
    "\n",
    "|Problem|Variables|Objectives|Constraints|\n",
    "|:---|:---|:---|:---|\n",
    "| CS1   | 20      |  2       | 7         |\n",
    "| CS2   | 20      |  2       | 8         |  \n",
    "| CS3   | 20      |  2       | 10        | \n",
    "| CS4   | 20      |  2       | 9         |\n",
    "| CT1, CTS1, CTSE1, CTSEI1  | 20  |  2,3,4 or 5  | 7  |  \n",
    "| CT2, CTS2, CTSE2, CTSEI2  | 20  |  2,3,4 or 5  | 8  |  \n",
    "| CT3, CTS3, CTSE3, CTSEI3  | 20  |  2,3,4 or 5  | 10 |  \n",
    "| CT4, CTS4, CTSE4, CTSEI4  | 20  |  2,3,4 or 5  | 9  |  \n",
    "\n",
    "Some usage examples are highlighted in the following sections."
   ]
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   "source": [
    ".. _nb_dascmop1:"
   ]
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   "cell_type": "markdown",
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   "source": [
    "### CS3"
   ]
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from pymoo.factory import get_problem\n",
    "from pymoo.util.plotting import plot\n",
    "\n",
    "problem = get_problem(\"modact\", \"cs3\")\n",
    "plot(problem.pareto_front(), no_fill=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### CT1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from pymoo.factory import get_problem\n",
    "from pymoo.util.plotting import plot\n",
    "\n",
    "problem = get_problem(\"modact\", \"ct1\")\n",
    "plot(problem.pareto_front(), no_fill=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### CTS4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pymoo.factory import get_problem, get_visualization\n",
    "\n",
    "problem = get_problem(\"modact\", \"cts4\")\n",
    "pf = problem.pareto_front()\n",
    "get_visualization(\"scatter\", angle=(45,45)).add(pf).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<sub>Implementation by [the author (cyrilpic)](https://github.com/cyrilpic)."
   ]
  }
 ],
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